MODELING FRACTION DIVISION WORKSHEET

Modeling Fraction Division Worksheet :

Worksheet given in this section will be much useful for the students who would like to practice problems on modeling fraction division.

Modeling Fraction Division Worksheet - Problems

Problem 1 :

David has 3/4 cup of salsa for making burritos. Each burrito requires 1/8 cup of salsa. How many burritos can David make ?

Problem 2 :

Five people share 1/2 pound of cheese equally. How much cheese does each person receive?

Problem 3 :

One pizza can be made in 1/2 hour. How many pizzas can be made in 5/2 hours ?

Problem 4 :

David eats 1/4 of a pizza and divides the remaining in to two equal parts for his two kids. What is the part of the pizza will each kid receive ?

Problem 5 :

I can cover 3/4 mile in 1/2 hour by walk. Find the distance covered by in two hours. Modeling Fraction Division Worksheet - Solutions

Problem 1 :

David has 3/4 cup of salsa for making burritos. Each burrito requires 1/8 cup of salsa. How many burritos can David make ?

Solution :

To find the number of burritos that can be made, you need to determine how many 1/8 -cup servings are in 3/4 cup.

In the diagram given below, 3/4 of a whole is divided into quarters and into eighths. In the whole cup, there are eight 1/8 cups.

But, David has 3/4 cup of salsa.

So, we have to count the number of 1/8 cups in 3/4 cup in the above diagram.

And there are six 1/8 cups in 3/4 cup of salsa.

Hence, David can make 6 burritos from 3/4 cup of salsa.

Problem 2 :

Five people share 1/2 pound of cheese equally. How much cheese does each person receive?

Solution :

To find how much cheese each person receives, you can divide 1/2 pound into 5 equal parts. Use the diagram to determine what fraction of a whole pound each person receives.

In the diagram given below, 1/2 of a whole is divided into halves and into tenths. In one pound of cheese, there are ten 1/10s.

But, there is 1/2 pound of cheese.

So, we have to count the number of 1/10s in 1/2 pound of cheese.

And there are five 1/10s in 1/2 pound of cheese.

Hence, Each person will receive 1/10 pound of cheese.

Problem 3 :

One pizza can be made in 1/2 hour. How many pizzas can be made in 5/2 hours ?

Solution :

Time taken to make one pizza  =  1/2 hour

No. of pizzas made in 5/2 hours  =  5/2 ÷ 1/2

No. of pizzas made in 5/2 hours  =  5/2  2/1

No. of pizzas made in 5/2 hours  =  (5 ⋅ 2) / (⋅ 1)

No. of pizzas made in 5/2 hours  =  (5 ⋅ 1) / (1 ⋅ 1)

No. of pizzas made in 5/2 hours  =  5 / 1

No. of pizzas made in 5/2 hours  =  5

Problem 4 :

David eats 1/4 of a pizza and divides the remaining in to two equal parts for his two kids. What is the part of the pizza will each kid receive ?

Solution :

Part of the pizza eaten by David  =  1/4

Remaining pizza  =  3/4

Given : Remaining pizza is divided in to equal parts for his two kids.

So, part of the pizza received by each kid is

=  (3/4) ÷ 2

=  3/(4 ⋅ 2)

=  3/8

Hence, each kid will receive 3/8 part of the pizza.

Problem 5 :

I can cover 3/4 mile in 1/2 hour by walk. Find the distance covered by in two hours.

Solution :

Given : 3/4 miles of distance covered in 1/2 hour.

We all know the formula for speed. That is

Speed  =  Distance / Time

Here, Distance  =  3/4 miles and time  =  1/2 hour

Speed  =  (3/4) ÷ (1/2)

Speed  =  (3/4)  (2/1)

Speed  =  (3 ⋅ 2) / (4 ⋅ 1)

Speed  =  (3 ⋅ 1) / (2 ⋅ 1)

Speed  =  3/2

Therefore, speed is 3/2 miles per hour.

That is, 3/2 miles of distance covered in one hour.

Then the distance covered in two hours is

=  (3/2)  2

=  3 miles

Hence, I will cover 3 miles of distance in 2 hours. After having gone through the stuff given above, we hope that the students would have understood, how to model fraction division.

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

You can also visit our following web pages on different stuff in math.

WORD PROBLEMS

Word problems on simple equations

Word problems on linear equations

Word problems on quadratic equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

Word problems on comparing rates

Converting customary units word problems

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6 